202-HW1

# 202-HW1 - University of Southern California Ming Hsieh...

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Unformatted text preview: University of Southern California Ming Hsieh Department of Electrical Engineering EE 202L - Linear Circuits Homework Set #1 Due in class, Thursday, 29 September Problems 1.4, 1.7, 1.10, 1.16, 1.17, 1.20, 1.26, 1.30 These problems and others (for practice) are attached. PROBLEMS 45 Problems Section 1.1 Unless otherwise indicated, assume ideal op-amps with ± 15-V supplies. Op-Amp Circuit Analysis 1.1 Consider the circuit of Fig. P1.1. (a) Determine v out and node voltage v x . (b) What is the apparent circuit function, and what modifications (if any) lead to a better design? + + + 5 5 k v out + Ω 2 k Ω 2 k Ω v x Figure P1.1 1.2 Consider the circuit of Fig. P1.2. (a) Determine v out and node voltage v x . (b) What is the apparent circuit function, and what modifications (if any) lead to a better design? + + + 2 20 k v out + Ω 1 k Ω v x 10 k Ω 10 k Ω 4 k Ω Figure P1.2 1.3 Consider the circuit of Fig. P1.3. (a) Determine v out . (b) Apply Kirchhoff’s Current Law at each node to justify your result. + v out + 8 k Ω 2 k Ω 2 mA 1 mA Figure P1.3 1.4 Consider the circuit of Fig. P1.4. (a) Determine v out . (b) Apply Kirchhoff’s Current Law at each node to justify your result. + + +-3 2 k v out + Ω 4 k Ω 1 k Ω 3 k Ω 1 mA Figure P1.4 1.5 Op-amp circuits can often be analyzed by mark- ing up the circuit diagram with simple observations. Writing equations comes as a last resort. Consider the circuit of Fig. P1.5. (a) Find node voltages v a and v b in terms of v out . (b) Find v out in terms of v in . c 2011 Edward W. Maby All Rights Reserved 46 CHAPTER 1 BLACK-BOX ELECTRONICS + + + + 1 k Ω 1 k Ω 1 k Ω 1 k Ω v in v out v a v b Figure P1.5 1.6 Determine node voltages v a and v b in the circuit of Fig. P1.6. + + 3 mA v a v b 2 k Ω 1 k Ω 1 k Ω 3 k Ω 2 k Ω Figure P1.6 1.7 Determine node voltages v a and v b in the circuit of Fig. P1.7. Hint: Derive a relation for v b in terms of v a , then find v a . + + v a v b 1 k Ω 2 k Ω 1 k Ω 5 k Ω 1 k Ω 1 k Ω 2 1 k Ω + + Figure P1.7 1.8 Determine node voltages v a and v b in the circuit of Fig. P1.8. Hint: Derive a relation for v b in terms of v a , then find v a . + + v a v b 2 k Ω 3 k Ω 1 k Ω 2 + + 4 k Ω 1 mA 5 k Ω Figure P1.8 1.9 For the circuit of Fig. P1.9, sketch v out vs. v in (-10 V ≤ v in ≤ +10 V). + + + 5 2 k v out + Ω 4 k Ω + + 1 k Ω v in +10 V-10 V Figure P1.9 1.10 For the circuit of Fig. P1.10, sketch v out vs. v in (-10 V ≤ v in ≤ +10 V). + + + 5 4 k v out + Ω 5 k Ω + + 2 k Ω v in +10 V-10 V 2 k Ω 1 k Ω 1 mA Figure P1.10 c 2011 Edward W. Maby All Rights Reserved PROBLEMS 47 1.11 For the circuit of Fig. P1.11, sketch v out vs. v in (-10 V ≤ v in ≤ +10 V). + + + 5 2 k v out + Ω 1 k Ω 1 k Ω + + 1 k Ω v in +10 V-10 V Figure P1.11 1.12 For the circuit of Fig. P1.12, sketch v out vs. v in (-10 V ≤ v in ≤ +10 V)....
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## This note was uploaded on 12/14/2011 for the course EE ??? taught by Professor Maybe during the Spring '10 term at USC.

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202-HW1 - University of Southern California Ming Hsieh...

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